7-3 Elimination Using Addition and Subtraction 7-4 Elimination Using Multiplication Objective: Students will be able to: Solve a system of linear equations by elimination

What would happen if you tried to solve a problem like this using substitution?

Elimination Elimination is another algebraic method to solve a system of equations. The goal of elimination is to eliminate one of the variables by adding or subtracting the equations. If adding or subtracting does not eliminate a variable, you will need to manipulate one or both equations by using multiplication so that one of the variables does eliminate.

Let’s use elimination to solve the previous example.

Example 1: Use elimination to solve each system of equations. a) Try this. b)

c) d)

Try these. e) f)

What happens when one of the variables does not readily eliminate? g) h)

i)j)

k)l)

Try these. m)n)